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Finding the Fourth Proportional to 389,930.88, 584,896.33 and 140,612.88

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Solution

The fourth proportional to 389,930.88, 584,896.33 and 140,612.88 is: 210,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,930.88 : 584,896.33 = 140,612.88 : x
  2. Step 2: Convert to fraction form
    389,930.88/584,896.33 = 140,612.88/x
  3. Step 3: Cross multiply
    389,930.88x = 584,896.33 × 140,612.88
  4. Step 4: Simplify right side
    389,930.88x = 82,243,957,462.73
  5. Step 5: Solve for x
    x = 82,243,957,462.73/389,930.88
  6. Step 6: Final answer
    x = 210,919.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.